Correlators in two rainbow tensor and complex multi-matrix models Article Swipe

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Bei Kang , Luyao Wang , Ke Wu , Wei‐Zhong Zhao ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.1140/epjc/s10052-025-14300-z

We construct two rainbow tensor models with multi-tensors of rank-3 and present their W -representations. We give the formula of counting number of independent gauge-invariant operators in terms of Hurwitz numbers and establish a one-to-one correspondence between connected operators and colored Dessins. By means of the colored Dessins and W -representations, respectively, we derive two compact expressions of correlators for each of rainbow tensor models. Furthermore, two complex multi-matrix models from the degradations of the constructed rainbow tensor models are also discussed.

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Rainbow Tensor (intrinsic definition) Matrix (chemical analysis) Mathematics Pure mathematics Physics Materials science Optics Composite material

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Type: article
Language: en
Landing Page: https://doi.org/10.1140/epjc/s10052-025-14300-z
PDF: https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14300-z.pdf
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DOI: https://doi.org/10.1140/epjc/s10052-025-14300-z

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Title: Correlators in two rainbow tensor and complex multi-matrix models

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Publication year: 2025

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Publication date: 2025-05-29

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Authors: Bei Kang, Luyao Wang, Ke Wu, Wei‐Zhong Zhao

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Landing page: https://doi.org/10.1140/epjc/s10052-025-14300-z

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Concepts: Rainbow, Tensor (intrinsic definition), Matrix (chemical analysis), Mathematics, Pure mathematics, Physics, Materials science, Optics, Composite material

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abstract_inverted_index.correlators	59
abstract_inverted_index.expressions	57
abstract_inverted_index.independent	24
abstract_inverted_index.Furthermore,	66
abstract_inverted_index.degradations	73
abstract_inverted_index.multi-matrix	69
abstract_inverted_index.multi-tensors	8
abstract_inverted_index.respectively,	52
abstract_inverted_index.correspondence	36
abstract_inverted_index.gauge-invariant	25
abstract_inverted_index.-representations,	51
abstract_inverted_index.-representations.	15
cited_by_percentile_year
countries_distinct_count	2
institutions_distinct_count	4
citation_normalized_percentile.value	0.19825708
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False